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chubhunter [2.5K]
3 years ago
10

A race car accelerates from 0 m/s to 30.0 m/s with a displacement of

Physics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

4. 10.0 m/s²

Explanation:

I) if initial velocity is 'v₀', the final velocity is 'v', the accelaration is 'a', the distance is 'L' and elapsed time if 't', then:

1. \ a=\frac{v-v_0}{t};

2. \ L=\frac{at^2}{2}.

II) using these two equations after substitution v₀=0; v=30 and L=45:

\left \{{{45 =\frac{at^2}{2}} \atop {a=\frac{30-0}{t} }} \right.

\left \{ {{at^2=90} \atop {at=30}} \right. \  \ \left \{ {{a=10} \atop {t=3}} \right. => \ a=10\frac{m}{s^2}

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You have a battery marked " 6.00 V 6.00 V ." When you draw a current of 0.383 A 0.383 A from it, the potential difference betwee
Archy [21]

Answer:

V = 4.81 V

Explanation:

  • As the potential difference between the battery terminals, is less than the rated value of the battery, this means that there is some loss in the internal resistance of the battery.
  • We can calculate this loss, applying Ohm's law to the internal resistance, as follows:

        V_{rint} = I* r_{int}

  • The value of the potential difference between the terminals of the battery, is just the voltage of the battery, minus the loss in the internal resistance, as follows:

       V = V_{b} - V_{rint}  = 5.03 V = 6.0 V - 0.383 A* r_{int}

  • We can solve for rint, as follows:

         r_{int} = \frac{V_{b}-V}{I} =\frac{6.0V-5.03V}{0.383A} = 2.53 \Omega

  • When the circuit draws from battery a current I of 0.469A, we can find the potential difference between the terminals of the battery, as follows:

       V = V_{b} - V_{rint}  = 6.0 V - 0.469 A* 2.53 \Omega= 6.0 V - 1.19 V = 4.81 V

  • As the current draw is larger, the loss in the internal resistance will be larger too, so the potential difference between the terminals of the battery will be lower.
5 0
3 years ago
Find the unit vector in the direction of vector B=4i+2j-5k​
solmaris [256]

Answer:

\frac{4}{\sqrt{45} } i\,+\frac{2}{\sqrt{45} } j-\frac{5}{\sqrt{45} } k

Explanation:

for the unit vector, we need to divide the given vector by its norm, because it should be in the SAME direction as the original vector, but of magnitude "1".

We notice that the norm of the given vector is:

\sqrt{4^2+2^2+(-5)^2} =\sqrt{45}

Then, the unit vector becomes:

\frac{4}{\sqrt{45} } i\,+\frac{2}{\sqrt{45} } j-\frac{5}{\sqrt{45} } k

7 0
3 years ago
In creating his definition of horsepower, James Watt, the inventor of the steam engine, calculated the power output of a horse o
Studentka2010 [4]

Answer:

Part a)

F = 182.3 Lb

Part b)

P = 0.55 HP

Explanation:

Diameter of the circle = 24 ft

Diameter = 731.52 cm = 7.3152 m

now the horse complete 144 trips in one hour

so time to complete one trip is given as

t = \frac{3600}{144} s

t = 25 s

now the speed of the horse is given as

v = \frac{2\pi r}{t}

v = \frac{\pi(7.3152)}{25}

v = 0.92 m/s

Part a)

Now we know that the power is defined as rate of work done

it is given as

P = F v

746 = F(0.92)

F = 810.9 N

F = 182.3 Lb

Part b)

Work done to climb up to 3 m height is given by

W = mgh

now we have

Power = \frac{Work}{time}

P = \frac{mgh}{t}

P = \frac{(70kg)(9.81)(3)}{5.0s}

P = 412.02 Watt

now we know that 1 HP = 746 Watt

so we have

P = \frac{412}{746} = 0.55 HP

8 0
3 years ago
What is the net force on these free body diagrams?
pentagon [3]

A

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The Vertical force is 6N up - 2 N down = 4 N Up

Answer 4 N up

B

The horizontal and vertical forces cancel out. Each gives 3N - 3N =0

The net force is 0

C

You only have horizontal forces on this one

5N - 3N = 2N  

The answer is 2N to the right.

7 0
3 years ago
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What are some examples of a solute
Leto [7]
Anything that can be dissolved/mixed into a solvent. Sugar, salt, acetic acid, etc
7 0
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